Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let
. then we have that
. Hence, it makes sense to define the positive number delta as
(the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that
, and if we prove this, we are done. To prove it, let
, then
. First,
then
hence
On the other hand,
then
hence
. Combining the inequalities, we have that
, therefore
as required.
Answer:
Step-by-step explanation:
5:4:3 = x:y:2
4:3 = y:2 Cross multiply
3y = 8 Divide by 3
y = 8/3 = 2.66'
5/x = 3/2
3x = 10 Divide by 3
x = 10/3
x = 3.33
Length of the wood = 2.66 + 3.33 + 2
Length of the wood = 8 feet
Answer:
3x +12.95 = 32.46
Step-by-step explanation:
3 burritos plus x + 12.95 = $32.46
Answer:
x= -7
Step-by-step explanation:
Answer:
32 = 26
d
2
= 32
Step-by-step explanation: UMU